Geodesic
Cauchy's integral theorem and classical reciprocity law
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 73-82

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The present paper gives explicit formulas for the local norm residue symbol and the product of power residue symbols. Using these formulas, a visible analogy can be made between the reciprocity law in the field of algebraic numbers and Cauchy's integral theorem from complex analysis.
Keywords: reciprocity law, Schnirelman integral.
Mots-clés : norm residue symbol 
@article{UZKU_2012_154_2_a6,
     author = {S. V. Vostokov and M. A. Ivanov},
     title = {Cauchy's integral theorem and classical reciprocity law},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {73--82},
     publisher = {mathdoc},
     volume = {154},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a6/}
}
TY  - JOUR
AU  - S. V. Vostokov
AU  - M. A. Ivanov
TI  - Cauchy's integral theorem and classical reciprocity law
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2012
SP  - 73
EP  - 82
VL  - 154
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a6/
LA  - ru
ID  - UZKU_2012_154_2_a6
ER  - 
%0 Journal Article
%A S. V. Vostokov
%A M. A. Ivanov
%T Cauchy's integral theorem and classical reciprocity law
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2012
%P 73-82
%V 154
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a6/
%G ru
%F UZKU_2012_154_2_a6
S. V. Vostokov; M. A. Ivanov. Cauchy's integral theorem and classical reciprocity law. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 73-82. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a6/